Thermodynamics of exotic black holes in Lovelock gravity

We examine the thermodynamics of a new class of asymptotically anti-de Sitter (AdS) black holes with nonconstant curvature event horizons in Gauss-Bonnet Lovelock gravity, with the cosmological constant acting as thermodynamic pressure. We find that nontrivial curvature on the horizon can significantly affect their thermodynamic behavior. We observe novel triple points in six dimensions between large and small uncharged black holes and thermal AdS. For charged black holes we find a continuous set of triple points whose range depends on the parameters in the horizon geometry. We also find new generalizations of massless and negative mass solutions previously observed in Einstein gravity.